MSE 508Dept. of Materials Science & Engineering Solid State ThermodynamicsSpring 2011/Bill Knowlton Problem Set 1 Solutions1.In class we discussed thermodynamic materials parameters. One of the thermodynamic materials parameters discussed was the coefficient of compressibility: 1TVVPbæö¶÷ç=-÷ç÷çèø¶. At various temperatures, can have differing values. Explain how this is so since Tis held constant. Hint: Use a plot (it can be hand sketched) of versus temperature to help support your answer. While keeping temperature constant at specific pressure, can be measured at various pressures. Then changing the pressure and holding it constant, can be measured again at various temperatures and can differ. The plot below shows this graphically. At a constant T1, is measured at various pressures. is measured at various pressures for constant T2and constant T3. Thus, say at Pa, can have several values all measured at constant temperature. T1PT2T3PbPaPc1

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MSE 508Dept. of Materials Science & Engineering Solid State ThermodynamicsSpring 2011/Bill Knowlton 2.In class, we have been able to develop several Free Energy relationships with respect to intensive and extensive variables using the Fundamental Equation of Thermodynamics (FEOT) and the fact that it is an exact differential.

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